1. The problem demonstrates how a function maps elements from a domain to a range. 2. From Figure 1.2, the function $f$ takes an input $x$ from the domain and produces an output $f(x)$ in the range. 3. Figure 1.3 clarifies that each input in the domain corresponds to exactly one output in the range, but multiple domain values can map to the same range value. 4. Specifically, the mapping is: - $f(1) = 2$ - $f(2) = 1$ - $f(3) = 2$ 5. Figure 1.4 shows these pairs as points: $(1,2)$, $(2,1)$, and $(3,2)$ plotted on a coordinate plane where $x$ is the independent variable (domain) and $y=f(x)$ is the dependent variable (range). 6. The domain set is ${1, 2, 3}$ and the range set is ${1, 2}$ because these are the values of $x$ and $f(x)$ respectively in the plotted points. This clarifies how a function assigns each input exactly one output, and shows the domain and range for the example function.